Taming chaotic systems through feedback and perturbations
🎯 Hook
💡 Intuition
📚 Theory
🎮 Playground
✏️ Practice
Taming the Butterfly
Can tiny nudges really control unpredictable chaos?
The same sensitivity that makes chaos unpredictable might also make it controllable. Time to test this revolutionary idea!
The Control Experiment
This is the chaotic logistic map at r = 3.9. The green dashed line shows an unstable fixed point hidden in the chaos. What if we could make the system stay there?
Population Over Time
Phase Portrait
When you enable control, what do you predict will happen?
Try it! Start the chaos, then enable control to see the magic happen!
